Franz Halter-Koch Knihy

Focusing on the unification of various aspects of number theory, this book explores continued fractions, quadratic orders, binary quadratic forms, and class groups through the lens of quadratic irrationals. It bridges classical and contemporary results, emphasizing the relationship between Gauss's theory of binary forms and the arithmetic of quadratic orders. By addressing the disorganization in the literature and the lack of standardized notation, it provides a cohesive framework for understanding these mathematical concepts.

The book provides an in-depth exploration of classical algebraic number theory and algebraic functions, emphasizing ideal and valuation theory, L-functions, and class field theory. It also addresses foundational concepts often overlooked in typical algebra courses, ensuring a comprehensive understanding of the subject. Each section is interconnected yet distinct, making complex topics accessible and engaging for readers seeking to deepen their knowledge in algebraic structures.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.